In this paper, the energy formula for charge carrier (e) confined in a diluted magnetic semiconductor (DMS) quantum well QW made from Cd1???? xMnxTe is generated and utilized to calculate the Density of States (DOS) and the Lande g-factor. The Landau levels in a quantum wire that is placed in uniform magnetic field along its axis, taking into account the presence of Rashba spin-orbit interaction and exchange effect, are explored. These effects have altered the DOS and the Landau levels. The electron g-factor for the lowest state is explored. Our results show that the g-factor is strongly affected by the combined effects of magnetic field and Rashba spin-orbit interaction strengths. The g-factor can vary in a wide range of expands for the bulk value of 2 up to 300, which makes it a good candidate for spintronic applications.
